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Scaling properties of the Fermi-Ulam model

Da Silva, Jafferson Kamphorst Leal and Gouvêa Ladeira, Denis and Leonel, Edson D. and McClintock, Peter V. E. and Kamphorst, Sylvie O. (2006) Scaling properties of the Fermi-Ulam model. Brazilian Journal of Physics, 36 (3A). pp. 700-707. ISSN 0103-9733

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    Abstract

    The chaotic low energy region (chaotic sea) of the Fermi-Ulam accelerator model is discussed within a scaling framework near the integrable to non-integrable transition. Scaling results for the average quantities (velocity, roughness, energy etc.) of the simplified version of the model are reviewed and it is shown that, for small oscillation amplitude of the moving wall, they can be described by scaling functions with the same characteristic exponents. New numerical results for the complete model are presented. The chaotic sea is also characterized by its Lyapunov exponents.

    Item Type: Article
    Journal or Publication Title: Brazilian Journal of Physics
    Uncontrolled Keywords: Fermi Model ; Chaos ; Lyapunov Exponent ; Scaling
    Subjects: Q Science > QC Physics
    Departments: Faculty of Science and Technology > Physics
    ID Code: 10079
    Deposited By: Mr Michael Dunne
    Deposited On: 02 Jul 2008 20:10
    Refereed?: Yes
    Published?: Published
    Last Modified: 06 Jul 2015 00:00
    Identification Number:
    URI: http://eprints.lancs.ac.uk/id/eprint/10079

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